1. We are given the equation modeling the miles remaining to be paved after $x$ hours: $$y = 200 - 50x$$ where $y$ is the miles remaining and $x$ is the time in hours. 2. The $x$-intercept of a graph is the point where $y=0$ (no miles left to pave). 3. Set $y=0$ to find the $x$-intercept: $$0 = 200 - 50x$$ $$50x = 200$$ $$x = \frac{200}{50} = 4$$ 4. This means that after 4 hours, there will be 0 miles left to pave. 5. Interpreting the options: - A. Says the crew paves about 4 miles per hour (incorrect, need to check rate). - B. Says the crew will have paved the entire road in about 4 hours (matches $x$-intercept meaning). - C. Says the crew paves about 50 miles per hour (incorrect, the rate is 50 miles per hour but miles remaining decreases by 50 each hour). - D. Says the crew started with 200 miles to pave (this is $y$-intercept, not $x$-intercept). 6. The slope $-50$ means the crew paves 50 miles every hour (the miles remaining decreases by 50 per hour). 7. Therefore, the best interpretation of the $x$-intercept is (B): The crew will have paved the entire road in about 4 hours. Final answer: B